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2 years ago

Equations on both sides

Mathematics

2 answers:

BARSIC [14]2 years ago

8 0

The answer would be for this problem is -22

choli [55]2 years ago

6 0

Answer:

x = -22

Step-by-step explanation:

Subtract 5 from both sides

3x + 5 (-5) = 2x - 17 (-5)

3x = 2x - 17

Subtract 2x from both sides

3x (-2x) = 2x (-2) -22

x = -22

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erastovalidia [21]

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2 years ago

The main show tank has a radius of 60 feet and forms a quarter sphere where the bottom of the pool is spherical and the top of t

svetlana [45]

The given radius is = 60 feet

The volume of the sphere is given by = $\frac{4}{3} \pi r^{3}$

So we will find the volume of the sphere using radius as 60 and pi as 3.14

Volume = $\frac{4}{3}*3.14*60*60*60$ = 902059.20 cubic feet

As quarter of anything is defined as its one-fourth part, so here the volume of the quarter of sphere can be calculated by finding one fourth of the calculated volume.

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2 years ago

Help ASAP show work please thanksss!!!!

Llana [10]

Answer:

$\displaystyle log_\frac{1}{2}(64)=-6$

Step-by-step explanation:

<u>Properties of Logarithms</u>

We'll recall below the basic properties of logarithms:

$log_b(1) = 0$

Logarithm of the base:

$log_b(b) = 1$

Product rule:

$log_b(xy) = log_b(x) + log_b(y)$

Division rule:

$\displaystyle log_b(\frac{x}{y}) = log_b(x) - log_b(y)$

Power rule:

$log_b(x^n) = n\cdot log_b(x)$

Change of base:

$\displaystyle log_b(x) = \frac{ log_a(x)}{log_a(b)}$

Simplifying logarithms often requires the application of one or more of the above properties.

Simplify

$\displaystyle log_\frac{1}{2}(64)$

Factoring $64=2^6$ .

$\displaystyle log_\frac{1}{2}(64)=\displaystyle log_\frac{1}{2}(2^6)$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}(2)$

Since

$\displaystyle 2=(1/2)^{-1}$

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}((1/2)^{-1})$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=-6\cdot log_\frac{1}{2}(\frac{1}{2})$

Applying the logarithm of the base:

$\mathbf{\displaystyle log_\frac{1}{2}(64)=-6}$

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2 years ago

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makvit [3.9K]

Answer:

777

Step-by-step explanation:

3 0

2 years ago

A plot of 1/no2 versus time is linear. using this information, identify the factor by which the rate will increase in model (c)

WITCHER [35]

This is hard in mathematical language, but there is only this way to present it. Let us denote by A the consentration of the substance and by A' its rate.
We have that b/A= t+c where c is a constant.
Hence A=b/(c+t)
By differentiating, we get that A'=-b/(C+t)^2
Then, we have that -(A)^2=A'/b
Hence at any point, we have that if we make the concentration 17 times, we have that there is a 17 times bigger , the rate will become bigger by 17*17, hence 289 times faster.

7 0

3 years ago